Spectral solutions for diffusion equations of Riesz distributed-order space-fractional

Abstract

A highly accurate collocation technique for diffusion equations of Riesz distributed-order space-fractional is consider. A mixed Gauss-Lobatto and Gauss-Radau Legendre collocation technique is introduced to solve the diffusion equations of Riesz distributed-order space-fractional. A full theoretical discussion is given and numerical tests are listed to light the fulfillment and eligibility of the technique. The reliability of our technique to treat the diffusion equations of Riesz distributed-order space-fractional is revealed.

Keywords

• Quadrature
• Fractional derivatives
• Riesz space-fractional derivative
• Collocation method